具有费米子配对的广义Nicolai模型中的超对称破缺
Supersymmetry Breaking in a Generalized Nicolai Model with Fermion Pairing
AI总结：
本文提出一个含费米子配对和相互作用Nicolai模型的超对称晶格费米子模型，证明有限$g$下超对称在有限和无限系统中均破缺，并揭示NG费米子无隙性及一般参数下广延基态简并和平带不出现。
摘要：
我们引入了一个超对称晶格费米子模型，该模型同时包含费米子配对和相互作用的Nicolai模型。该模型拥有单一控制参数$g$，通过超对称生成元（超荷）的反对易子引入，并且研究表明，只要$g$有限，超对称在有限系统和无限系统中均发生破缺。此外，采用单模近似建立了Nambu-Goldstone（NG）费米子色散关系的上界，证明了它们的无隙性。最后，通过数值和解析计算表明，对于参数$g$的一般取值，预期的广延基态简并和零能量平带并不会出现。
英文摘要：
We introduce a supersymmetric lattice fermion model that contains both fermion pairing and the interacting Nicolai model. This model possesses a single control parameter, $g$, introduced through the anticommutator of the supersymmetry generators (supercharge), and it is shown that supersymmetry is broken in both finite and infinite systems as long as $g$ is finite. Additionally, the single-mode approximation is employed to establish an upper bound on the dispersion relation of Nambu-Goldstone (NG) fermions, demonstrating their gaplessness. Finally, it is shown, through numerical and analytic calculations, that the anticipated extensive ground-state degeneracy and a zero-energy flat band does not occur for generic values of the parameter $g$.
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